PreCalculus

Welcome! Lesson details for each day are described below.  I will do my best to not only stay updated, but also provide extra links and resources for you to use and explore.

 My Channel for Precalculus

First Semester Final Exam

The final exam is broken up into two parts, given over two class periods.  I will provide two different reviews as well as give details as to what to expect on each part of the test in class.

Part 1:  December 13th (A-Days)  December 16th (B-Days)

Part 2:  December 17th (A-Days)  December 18th (B-Days)

Review #1:  math_111_final_exam_review (we will use selected problems from here)
Review #1 Key:  math_111_final_exam_review_solutions
Review #2:  PC1stSemFinalReview
Review #2 Key:  PC1stSemFinalReviewKEY

Day 35:  December 13th/16th.  Objective:  Students will prove their knowledge by completing part 1 of the semester final exam.  Homework:  Study for the final exam.

Day 34:  December 11th/12th.  Objective:  Students will review for the final exam.  Homework:  Study both reviews to prepare for the final exam.

Day 33:  December 9th/10th.  Objective:  Students will make revisions/corrections to their chapter test.  Homework:  Study for the upcoming final.  Use the links above to access them.

Chapter 4:  Exponential and Logarithmic Functions

Group Test:  November 22nd (A-Day’s) December 2nd (B-Day’s)

Individual Test:  December 5th (A-Day’s) and December 6th(B-Day’s)

Day 32:  December 5th/6th.  Objective:  Students will prove their knowledge by completing an individual test.  Homework:  Prepare for the 15 minute test corrections/revisions allotted for next class.

Day 31:  December 3rd/4th.  Objective:  Students will review for a unit test. Group Test/Quiz Key:  PC4-GroupQuizKEY  Review: PC4-Review Review Key:  PC4-ReviewKEY  Homework:  Study for the individual test next class.

Day 30:  November 22nd/December 2nd.  Objective:  Students will complete a group quiz.  Homework:  PC4-Review

Day 29:  November 20th/21st:  Objective:  Students will complete application problems involving logistic growth models.  Homework:  PC4-7PracticeProblems

Day 28:  November 18th/19th.  Objective:  Students will complete application problems involving uninhibited growth and decay. Notes: PC4-6bNotesKEY Video on those half-life problems :  Exponential Decay Homework:  PC4-6PracticeProblems

Day 27:  November 14th/15th.  Objective:  Students will solve exponential and logarithmic equations.Class Notes:  PC4-5ClassNotes  Homework:  PC4-5Homework

Day 26:  November 12th/13th.  Objective:  Students will solve applied problems using exponential and logarithmic equations and properties. Notes: PC4-4Notes1Key  and PC4-4Notes2Key Homework:  PC4-4InterestPracticeProblems.

Day 25:  November 7th/8th  Objective:  Students will find the inverse of a function.  Notes part 1: PC4-3NotesKey Notes part 2: PC4-3NotesPart2(blank version) and PC4-3NotesandPracticeKEY  Homework:  page 279 #11.  page 292 #’s 41, 65, 67, and 69.  Note – problem 41 requires you to read the instructions on page 291.  Use your notes from class to help complete that problem.

Day 24: November 5th/6th  Objective:  Students will perform operations on functions including compositions of functions. Definition of e: PC4-0NotesKEYNotes:  PC4-2NotesKEY  Homework:  PC4-2Practice

Quarter 1 Survey: Quarter 1 Survey Link

Chapter 3:  Polynomial and Rational Functions

Test Date(s):  October 31st (A-Day) and November 4th (B-Day)

Day 23:  October 31st/November 4th.  Objective: Students will prove their knowledge by completing an individual test.  Homework: PC4-0Homework

Day 22:  October 29th/30th.  Objective:  Students will collaborate on a group test.  Homework:  Study for the individual test next class.

Day 21:  October 25th/28th.  Objective:  Students will review unit material to prepare for a group test. Review:  PC3-Review  Review Key: PC3-ReviewKEY  Homework:  Complete the Review to prepare for a group test next class.

Day 20:  October 23rd/24th.  Objective:  Students will write the equation of a rational function given the graph.Class Practice:  PC3-7Practice  Homework:  PC3-7HomeworkSet

Day 19:  October 21st/22nd.  Objective:  Students will find the equations of horizontal and oblique asymptotes given a rational equation. Check my YouTube channel for videos on Rational Functions for extra help.  Notes:  PC3-6NotesKey  Homework: PC3-6Practice

Day 18:  October 17th/18th.  Objective:  Students will find intercepts and vertical asymptotes of a rational function. Notes:  PC2-5NotesKey(part1) and PC2-5NotesKeyBack(part1)  Homework:  Complete the following worksheets:  PC3-5Investigation and PC3-5Practice.

Day 17:   October 14th/15th.  Objective:  Students will use Descartes Rule of Signs and the Rational Zeros Theorem to solve cubic equations. Notes Key: PC3-4NotesKEY Helpful Videos: Descartes Rule of Signs and Rational Roots Theorem Homework:  page 224 #’s 21, 23, 25, 33, 35, and 37.  Page 231 #’s 23 and #25.

Day 16:  October 9th/10th.  Objective:  Students will write the equation of a polynomial in standard form given factors, roots, and points on the graph.Class Practice: We finished the problems from last class – PC3-2GroupChallenge.  Practice problems solutions: PC3-2GroupChallengeKEY(3) and PC3-2GroupChallengeKEY(4) Class Notes: PC3-3NotesKEY  Homework:  On page 214, the Factor theorem is written.  In your notebook, copy down the factor theorem and put a box around it.  At the bottom of page 214 there is an example on using the factor theorem – use that to remind yourself of what to do.  On page 223-224, complete problems 11, 12, and 20.  On page 231, complete problems 7, 9, 11, 17, and 19.  Make sure you are showing work on these problems 🙂

Day 15:  October 7th/8th.  Objective:  Students will determine roots of a polynomial given a factor. Class work:  PC3-2GroupChallenge Group Challenge Keys:  PC3-2GroupChallengeKEY(1)  and PC3-2GroupChallengeKEY(2) Homework: Complete this document:  PC3-1Practice (If you were in class last week, you were handed a paper copy of it).

Day 14: October 3rd/4th.  Objective:  Students will identify polynomials and properties of polynomials.  Homework:  First identify where section 3.1 is in your notebook.  Section 3.1 has notes on the practice problems.  Here is the official assignment:  On page(s) 208-209 complete problem #’s 15, 17, 19, 41, 43, 49, and 65.

Chapter 1: Functions and Their Graphs (part 2)

Test Date(s): October 1st (A-Day) and October 2nd (B-Day)

Day 13:  October 1st/2nd.  Objective:  Students will complete a unit test on functions and their graphs.  Homework:  PC3-0

Day 12:  September 27th/30th.  Objective:  Students will review unit objectives and complete a review document to study for an individual test next class. Review:  PC1(part2) Review Review Key: PC1(part2) ReviewKEY Homework:  Study for the the test! Review the review document, daily quizzes, homework problems, class work problems, and don’t forget to ask questions if you have them.  My Channel for Precalculus is available to you if you need a refresh on a concept!  

Day 11:  September 25th/26th.  Objective:  Students will find the average rate of change between two numbers given a function. Class Notes: PC1-9DiffQNotesKey Presentation:  Presentation – Start on slide 33.   Homework:  page 55, #’s 77 and 78.  Page 76 #’s 67, 68, and 69.

Day 10:  September 23rd/24th.  Objective:  Students will perform transformations on functions and write coordinate rules for the transformation.Class Practice:  PC1-7ClassPractice  Coordinate Rules Notes: PC1-8NotesKey Homework:  page 54 #’s 39 and 40 – only complete part (h) in those problems.  Page 98 and 100, complete #’s 32,37 and 95.

Day 9:  September 19th/20th.  Objective:  Students will perform transformations on functions. Class Notes:  PC1-7NotesKEYClass Practice:  PC1-7Investigation Homework:  On page 86 complete #33, and # 41.  On page 100 complete #94.

Chapter 1:  Functions and Their Graphs (part 1)

Test Date(s):

A-Day Students: 9/17

B-Day Students:  9/18

Day 8:  September 17th/18th.  Objective:  Students will prove their knowledge by completing a mid-chapter test.  Class Activity:  Take the test.  Homework stamps were counted today (there were 6 possible stamps) Homework:  Complete the PC1-6Practice document.

Day 7: September 13th/16th.    Review for test:  PC1-Review(1)Review Key:  PC1-Review(1)KEY As a reminder and a general rule for this class, simply completing the review is not sufficient to ensure 100% comprehension of concepts.  All daily quizzes, homework, class work, and notes should all be reviewed in order to be fully prepared for a test.  Homework:  Study for the test next class! Side-Note:  There are extra practice problems at the end of chapter 1.  You can look there for supplemental work if you’d like more practice.

Day 6: September 11th/12th.  Objective:  Students will determine the intervals on which a graph is concave up or concave down.  Students will identify local and absolute maxima and minima on a graph. Class Practice:  PC1-5InvestigationNotes Class Practice KEY: PC1-5InvestigationNotesKEY Notes:  PC1-5FormalNotes Homework: PC1-5HomeworkSet

Day 5:  September 9th/10th.  Objective:  Students will determine whether a function is even, odd, or neither both algebraically and graphically. Suggested Book Reading:  pages 66 and 67 Class Notes:  PC1-4NotesKey Homework:  pg. 61 # 9 AND pg. 75 #’s 33, 35, 38, 41, and 42.

Day 4:  September 5th/6th:  Objective:  Students will use a graph to determine where a function is increasing, decreasing, or constant. Recommended Book Reading:  Examine page 68 of your textbook for details and definitions on increasing/decreasing intervals. Class Notes:  PC1-3Notes  Homework:  p. 74 #’s 21-25.

Day 3: September 3rd/4th:  Objective:  Students will find the domain of a function algebraically. Notes: PC1-2Notes Class Practice: PC1-2Assignment KEY: PCSection1.2KEY Homework:  Re-read pages 49-50.  On Page 54:  Complete #’s 40, 52, 53, 55, and 59. Remind:  I’d like to use the Remind App this year.  Here is a link to sign up:  PreCalculus Remind

Day 2: August 29th/30th.  Objective:  Students will review Algebra 3-4 material in groups moving around the classroom. Class Problem Set Solutions:  PC1-1StationsSolutions Homework: Read section 1.1 (pg. 43-53) to review.  On page 53 and 54, complete problems 1,3,5,6,10, 15-20, and 39. Remind:  I’d like to use the Remind App this year.  Here is a link to sign up:  PreCalculus Remind

Day 1: August 28.  Objective:  Students will familiarize themselves with class rules and routines as they analyze the learning objectives for the school year. Class Power Point:  First Day Intro  Course Syllabus: PCSyllabus19-20 Homework:  Visit this website (if you are reading this, congratulations).  Watch the first three videos on My Channel for Precalculus .  Begin obtaining necessary course materials and see me if you need help.